臺灣博碩士論文加值系統

光子晶體（PCs）是由具有不同折射係數之材料進行週期性或非週期性排列組合而成的光學介質，它的基本性質是每一種材料皆存在著各自的光子能隙（PBGs），當電磁波的頻率落在光子晶體之光子能隙（PBGs）時，則電磁波將無法在此光子晶體結構中傳播。本篇論文的目的是在利用金屬材料來設計具有缺陷之光子晶體濾波器並研究其特性，藉由轉移矩陣法（TMM）計算透射、吸收與反射對應入射電磁波頻率的關係。在此論文中，共研究了兩個主題。
第一個主題是研究金屬材料的缺陷模態在一維光子晶體中是如何影響電磁波的傳播。利用金屬和介電質材料的交替排列，我們探討缺陷層厚度以及其介電常數的變化會對電磁波從光子晶體（PCs）左右射入產生何種影響，另外我們也會討論在TE或TM不同模態下改變入射角度所顯現的特性。
第二個主題則是利用金屬和介電質材料的交替排列來設計多通道可調變式濾波器。我們發現可藉由改變缺陷層厚度及其介電常數可以調變濾波的特性，不同的入射角度在TE模態下也可做為一個濾波器調變因子。

Photonic crystals (PCs) is made of materials having different refractive indices with periodical or non-periodical arrangement. Photonic band gaps (PBGs) is most fundamental properties of photonic crystals (PCs). When the frequency of electromagnetic wave falls on photonic band gaps (PBGs), the electromagnetic wave can not propagate in the photonic crystal structure. We use metal materials to design photonic crystal and study their properties. We also calculate the transmission, absorption and reflection of the correspondence with the frequency of the incident electromagnetic wave by the transfer matrix method (TMM). Two topics were studied in this thesis.
The first topic is the study of metal material defect modes in one-dimensional photonic crystals. We investigate the phenomenon of electromagnetic wave propagating from left to right and from right to left. The second theme is to design a multichannel tunable filter. We found that the thickness, incident angles and dielectric constant of the defect layer can modulate the filter characteristics.

摘要……………………………………………………………………….I
Abstract…………………………………………………………………..II
Acknowledgements…………………………………………………......III
Contents…………………………………………………………………IV
Chapter 1 Introduction
1.1 Photonic Crystals………………………………………………...1
1.2 Refractive Index of Materials……………………………………4
Chapter 2 Basic Theory and Equations
2.1 The Refractive Index of Metal…………………………………...8
2.2 Transfer Matrix Method (TMM)………………………………...9
Chapter 3 One-Way Filter by Using Defective 1D
Dielectric-Metal Photonic Crystal
3.1 Introduction……………………………………………………..15
3.2 Simulation Results and Discussion……………………………..16
3.3 Conclusion……………………………………………………...25
Chapter 4 Multichannel Filter Based on the Finite
Dielectric-Metal Photonic Crystal
4.1 Introduction……………………………………………………..27
4.2 Simulation Results and Discussion……………………………..28
4.3 Summary………...……………………………………………...33
Chapter 5 Conclusions…………………………………………...…34
References…………………………………………………..…………..36

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